Superman in Greek Mythology

My question is do you think Superman could take Atlas the Titans place? Meaning Superman would have to hold the Earth for the rest of his life. They say if you have pure heart and enough strength you can do it or you just have pure strength. I think he could pull it off but what do you think? New 52 Supes of course wouldf have to carry the burden. Artemis could barely hold it but can Supes?